Solve 12 ^ 2 * k + 28k + 15 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$12^{2}k+28k+15$$

Evaluate

$172k+15$

Differentiate w.r.t. k

$172$

Steps Using Derivative Rule for Sum

Calculate $12$ to the power of $2$ and get $144$.

$$\frac{\mathrm{d}}{\mathrm{d}k}(144k+28k+15)$$

Combine $144k$ and $28k$ to get $172k$.

$$\frac{\mathrm{d}}{\mathrm{d}k}(172k+15)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is $0$. The derivative of $ax^{n}$ is $nax^{n-1}$.

$$172k^{1-1}$$

Subtract $1$ from $1$.

$$172k^{0}$$

For any term $t$ except $0$, $t^{0}=1$.

$$172\times 1$$

For any term $t$, $t\times 1=t$ and $1t=t$.

$$172$$